(z+2)-(2z+3)=0

Solution for (z+2)-(2z+3)=0 equation:

Simplifying
(z + 2) + -1(2z + 3) = 0

Reorder the terms:
(2 + z) + -1(2z + 3) = 0

Remove parenthesis around (2 + z)
2 + z + -1(2z + 3) = 0

Reorder the terms:
2 + z + -1(3 + 2z) = 0
2 + z + (3 * -1 + 2z * -1) = 0
2 + z + (-3 + -2z) = 0

Reorder the terms:
2 + -3 + z + -2z = 0

Combine like terms: 2 + -3 = -1
-1 + z + -2z = 0

Combine like terms: z + -2z = -1z
-1 + -1z = 0

Solving
-1 + -1z = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1z = 0 + 1
-1z = 0 + 1

Combine like terms: 0 + 1 = 1
-1z = 1

Divide each side by '-1'.
z = -1

Simplifying
z = -1